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Critical phase of bond percolation on growing networks
| Title: | Critical phase of bond percolation on growing networks |
| Authors: | Hasegawa, Takehisa Browse this author | | Nemoto, Koji Browse this author |
| Issue Date: | May-2010 |
| Publisher: | American Physical Society |
| Journal Title: | Physical review E |
| Volume: | 81 |
| Issue: | 5 |
| Start Page: | 051105 |
| Publisher DOI: | 10.1103/PhysRevE.81.051105 |
| Abstract: | The critical phase of bond percolation on the random growing tree is examined. It is shown that the root cluster grows with the system size N as Nψ and the mean number of clusters with size s per node follows a power function ns ∝ s(-τ) in the whole range of open bond probability p. The exponent τ and the fractal exponent ψ are also derived as a function of p and the degree exponent γ and are found to satisfy the scaling relation τ=1 + ψ^[-1]. Numerical results with several network sizes are quite well fitted by a finite-size scaling for a wide range of p and γ, which gives a clear evidence for the existence of a critical phase. |
| Rights: | ©2010 The American Physical Society |
| Type: | article |
| URI: | http://hdl.handle.net/2115/43120 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 根本 幸児
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